Answer:
No real
solution
Step-by-step explanation:
Firstly, let us check if we would be having a real solution
We start by rewriting the equation
We have this as;
8x^2 -25x + 24 = 0
We proceed to get the discriminant
Mathematically, we have this as;
D = b^2 - 4ac
b is the coefficient of x which is -25
a is the coefficient of x^2 which is 8
c is the last number which is 24
So we have;
D = (-25)^2 - 4(8)(24)
D = 625 - 768 = -143
Since the value of the discriminant is negative, there cannot be real roots
What we have as solution are complex roots
Answer:
0.99804932311
Step-by-step explanation:
We solve this using binomial probability
Binomial probability formula
= nCx × p^x × q^n - x
= n!/(n - x)! x!
Where n = Number of trials = 25 samples
x = Number of successes = 23
p = probability of success = 99% = 0.99
q = probability of failure = 1 - p
= 1 - 0.99
= 0.01
Hence,
p(at least 23 are properly filled) = p(X ≥ x)
= [25!/(25 - 23)! × 23! × 0.99^23 × 0.01^25 - 23 ]+ [25!/(25 - 24)! × 24! × 0.99^24 × 0.01^25 - 24 ]+ [25!/(25 - 25)! × 23! × 0.99^25 × 0.01^25 - 25]
= [300 × 0.99 ^23 × 0.01^2] + [25 × 0.99^24 × 0.01^1] + [1 × 0.99^25 + 0.01^0]
= 0.0238084285 + 0.1964195352 + 0.7778213594
= 0.99804932311
Answer:
Quan runs a maximum of 5.3 miles and a minimum of 4.7 miles every day.
Step-by-step explanation:
Let x= the actual measurement.
|actual − ideal|≤ tolerance
Use an absolute value inequality to express this situation.
|x−5|≤0.3
Rewrite as a compound inequality.
−0.3≤x−5≤0.3
Solve the inequality.
4.7≤x≤5.3
Answer the question. Quan runs a maximum of 5.3 miles and a minimum of 4.7 miles every day.
Answer:
Zoe will need <u>504</u> pieces of cardboard.
Step-by-step explanation:
Length of room = 7 feet =
inches
Width of room =3 feet = 
inches
Area of room in square inches
⇒ Length in inches 
width in inches
⇒ 
⇒ 
square inches
Area of each cardboard piece used to cover the rug =6 square inches
So, number of cardboard pieces Joe will need to cover the rug would be
⇒ 
⇒ 
⇒ 
So, Zoe will need 504 pieces of cardboard.
Answer:
Step-by-step explanation:
Let's simply rearrange bringing y to the RHS, -7 to the LHS and reading right to left:
